Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using data format conversion (e.g., of output(s) from generative design processes) and user interface techniques that facilitate the production of 3D models of physical structures that are readily usable with 2.5-axis subtractive manufacturing, include: modifying smooth curves, which have been fit to contours representing discrete height layers of an object, to facilitate the 2.5-axis subtractive manufacturing; preparing an editable model of the object using a parametric feature history, which includes a sketch feature, to combine extruded versions of the smooth curves to form a 3D model of the object in a boundary representation format; reshaping a subset of the smooth curves responsive to user input with respect to the sketch feature; and replaying the parametric feature history to reconstruct the 3D model of the object, as changed by the user input.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using data format conversion (e.g., of output(s) from generative design processes) and user interface techniques that facilitate the production of 3D models of physical structures that are readily usable with 2.5-axis subtractive manufacturing, include: modifying smooth curves, which have been fit to contours representing discrete height layers of an object, to facilitate the 2.5-axis subtractive manufacturing; preparing an editable model of the object using a parametric feature history, which includes a sketch feature, to combine extruded versions of the smooth curves to form a 3D model of the object in a boundary representation format; reshaping a subset of the smooth curves responsive to user input with respect to the sketch feature; and replaying the parametric feature history to reconstruct the 3D model of the object, as changed by the user input.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures using data format conversion (e.g., of output(s) from generative design processes) and user interface techniques that facilitate the production of 3D models of physical structures that are readily usable with 2.5-axis subtractive manufacturing, include: modifying smooth curves, which have been fit to contours representing discrete height layers of an object, to facilitate the 2.5-axis subtractive manufacturing; preparing an editable model of the object using a parametric feature history, which includes a sketch feature, to combine extruded versions of the smooth curves to form a 3D model of the object in a boundary representation format; reshaping a subset of the smooth curves responsive to user input with respect to the sketch feature; and replaying the parametric feature history to reconstruct the 3D model of the object, as changed by the user input.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: Methods, computer program products and systems for manipulating a spline are described. A spline can be displayed. A tangent bar that is tangent to a point on the spline and/or a curvature bar at the point can be displayed. A user input can be received defining one or more constraints on at least one of the tangent bar or the curvature bar, and the shape of the spline can be modified based on the one or more constraints.